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642431310506733 = 311294011674057569
BaseRepresentation
bin1001001000010010011011001…
…0000011100010101011101101
310010020122211111121110221122010
42102010212302003202223231
51133201043310442203413
610154200511510511433
7252214062522542166
oct22204466203425355
93106584447427563
10642431310506733
111767756526a4340
12600775aa065579
13217610219b5237
14b48dbac89c76d
154e411a54a2dc3
hex24849b20e2aed

642431310506733 has 32 divisors (see below), whose sum is σ = 969078446121600. Its totient is φ = 374988895232000.

The previous prime is 642431310506731. The next prime is 642431310506737. The reversal of 642431310506733 is 337605013134246.

It is a cyclic number.

It is not a de Polignac number, because 642431310506733 - 21 = 642431310506731 is a prime.

It is a super-3 number, since 3×6424313105067333 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642431310506731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 836645028 + ... + 837412541.

It is an arithmetic number, because the mean of its divisors is an integer number (30283701441300).

Almost surely, 2642431310506733 is an apocalyptic number.

It is an amenable number.

642431310506733 is a deficient number, since it is larger than the sum of its proper divisors (326647135614867).

642431310506733 is a wasteful number, since it uses less digits than its factorization.

642431310506733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674058013.

The product of its (nonzero) digits is 3265920, while the sum is 48.

The spelling of 642431310506733 in words is "six hundred forty-two trillion, four hundred thirty-one billion, three hundred ten million, five hundred six thousand, seven hundred thirty-three".

Divisors: 1 3 11 29 33 87 319 401 957 1203 4411 11629 13233 34887 127919 383757 1674057569 5022172707 18414633259 48547669501 55243899777 145643008503 534024364511 671297085169 1602073093533 2013891255507 7384267936859 19467615469901 22152803810577 58402846409703 214143770168911 642431310506733